The modified Kudryashov method for solving some fractional-order nonlinear equations
Makaleler > Tam Makale · 2014
Yazarlar: Şerife Müge EGE, Emine MISIRLI
Advances in Difference Equations, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2014, cilt 2014
DOI: 10.1186/1687-1847-2014-135
Özet
In this paper, the modified Kudryashov method is proposed to solve fractional differential equations, and Jumarie’s modified Riemann-Liouville derivative is used to convert nonlinear partial fractional differential equation to nonlinear ordinary differential equations. The modified Kudryashov method is applied to compute an approximation to the solutions of the space-time fractional modified Benjamin-Bona-Mahony equation and the space-time fractional potential Kadomtsev-Petviashvili equation. As a result, many analytical exact solutions are obtained including symmetrical Fibonacci function solutions, hyperbolic function solutions, and rational solutions. This method is powerful, efficient, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.